Freiman marked initial bridges: C comparison

Proved

Freiman.lower_bridge_C_comparison

by tp · Sep 9, 2026 · Mathlib 0df444a (Lean v4.33.1)

certificatesfreimanlower-construction

Two signed C common-prefix contacts, the inner bound for the shortened 12/12 endpoint, and exact matrix-word reassociation place the whole strip in the earlier B family.

Preamble

import Definitions.Def_Freiman_lowerBridgeCatalog
import Mathlib.Tactic.Linarith
import Mathlib.Tactic.Push

open Freiman

Formal statement

theorem Freiman.lower_bridge_C_comparison (c : LowerBridgeCase) (n k : ℕ) (hc : lowerBridgeZero c = decide (n=0)) (hf : lowerBridgeFamily c = .C) (h : lowerBridgeFacts c n k) : lowerBridgeInterval .C n k 0 ⊆ lowerFamilyH .B n (k+2) 0 := by
  sorry

Source

Freiman report, initial_bridges.tex, corrected marked H entries; H_entry_bridges.json 185 exact polynomial records.

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